Given the Graph Of $y = f ^ { \prime } ( x )$

Essay

Given the graph of $y = f ^ { \prime } ( x )$ , answer the questions that follow. (a) Find all values of x at which
(i) f is increasing.(iv) $f ^ { \prime \prime } ( x ) < 0$ (vii) $f ^ { \prime } \text { is decreasing. }$ (ii) f is decreasing.(v) $f ^ { \prime \prime } ( x ) = 0$ (viii) f has a local maximum.(iii) $f ^ { \prime \prime } ( x ) > 0$ (vi) $f ^ { \prime } \text { is increasing. }$ (ix) f has a local minimum.(b) Sketch a graph which could represent y = f (x).